Using Extended Euclid a. Use Euclid’s algorithm to compute gcd(1175, 423) b. Use the extended Euclid...
Using Extended Euclid
a. Use Euclid’s algorithm to compute gcd(1175, 423)
b. Use the extended Euclid algorithm to find integers x and y such that gcd(1175, 423) = 1175x + 423y. What is x and y?
Homework Answers
a) => GCD(1175, 423) => GCD(423, 1175%423) => GCD(423, 329) => GCD(329, 423%329) => GCD(329, 94) => GCD(94, 329%94) => GCD(94, 47) => GCD(47, 94%47) => GCD(47, 0) GCD(1175, 423) is 47 b) gcd(1175, 423) = 47 we can write 1175 as 47*25 we can write 423 as 47*9 gcd(1175, 423) = 1175/(2*25) + 423/(2*9) x = 1/50 y = 1/18
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